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Finding the Third Proportional to 24,066 and 37,193

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Solution

The third proportional to 24,066 and 37,193 is: 57,480.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,066 : 37,193 = 37,193 : x
  2. Step 2: Convert to fraction form
    24,066/37,193 = 37,193/x
  3. Step 3: Cross multiply
    24,066x = 37,193 × 37,193
  4. Step 4: Simplify right side
    24,066x = 1,383,319,249
  5. Step 5: Solve for x
    x = 1,383,319,249/24,066
  6. Step 6: Final answer
    x = 57,480.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.